Large electromagnetic scattering and radiation
problems are tackled by iterative solvers, which require the use of
huge preconditioners. Most often, the incomplete LU decomposition
(ILU) of the preconditioner is applied to the system matrix at
each iteration. However, the preconditioner ILU cannot be done
in-core when the size of the preconditioning matrix exceeds the
available memory. This paper presents a new preconditioning
scheme to do the preconditioner ILU in small blocks that fit in
core memory. The resulting approach allows the solution of very
large problems in small computers.